Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂²

Direct product G=N×Q with N=C₁₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₄		56		C2^2xC14	56,13

Semidirect products G=N:Q with N=C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₂² = C₂²×D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₄	28		C14:C2^2	56,12

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁C₂² = Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₄	56	2-	C14.1C2^2	56,3
C₁₄.₂C₂² = C₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₄	28	2	C14.2C2^2	56,4
C₁₄.₃C₂² = D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₄	28	2+	C14.3C2^2	56,5
C₁₄.₄C₂² = C₂×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₄	56		C14.4C2^2	56,6
C₁₄.₅C₂² = C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₄	28	2	C14.5C2^2	56,7
C₁₄.₆C₂² = C₇×D₄	central extension (φ=1)	28	2	C14.6C2^2	56,9
C₁₄.₇C₂² = C₇×Q₈	central extension (φ=1)	56	2	C14.7C2^2	56,10

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